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Finding the Fourth Proportional to 539.64, 749.70 and 534.58

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Solution

The fourth proportional to 539.64, 749.70 and 534.58 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 749.70 = 534.58 : x
  2. Step 2: Convert to fraction form
    539.64/749.70 = 534.58/x
  3. Step 3: Cross multiply
    539.64x = 749.70 × 534.58
  4. Step 4: Simplify right side
    539.64x = 400,774.63
  5. Step 5: Solve for x
    x = 400,774.63/539.64
  6. Step 6: Final answer
    x = 742.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.